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If 8:12::6:a, the value of a is

  • a)
    12

  • b)
    10

  • c)
    9

  • d)
    8

Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If 8:12::6:a, the value of a isa)12b)10c)9d)8Correct answer is option ...
Step-by-step explanation:
In context to questions asked
We have to determine the value of x,
Given that,
It is written as:
=> 
By using the method of cross-multiplication,
=> 8   = 12  6
Multiplying the numbers,
=> 8 = 72
Divide both sides by 8,
=> x = 9
Hence, the required solution is 9.
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Most Upvoted Answer
If 8:12::6:a, the value of a isa)12b)10c)9d)8Correct answer is option ...
Given, 8:12::6:a
We need to find the value of a.

Ratio: The ratio of two numbers a and b is the relationship between the two numbers in terms of their value. It is denoted as a:b.

Proportion: A proportion is a statement that two ratios are equal. It is denoted as a:b = c:d.

Now, let's solve the given proportion to find the value of a.

Step 1: Write the proportion using the symbol '::'.

8:12::6:a can be written as 8/12 = 6/a

Step 2: Cross-multiply the terms.

8a = 6 x 12

Step 3: Simplify and solve for 'a'.

a = (6 x 12)/8
a = 9

Therefore, the value of 'a' is 9.

Hence, option C is the correct answer.
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Community Answer
If 8:12::6:a, the value of a isa)12b)10c)9d)8Correct answer is option ...
Product of means =product of extremes

12 x 6= 8 x a
72 =8xa
72/8=a
therefore ans is 9
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If 8:12::6:a, the value of a isa)12b)10c)9d)8Correct answer is option 'C'. Can you explain this answer?
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